Classifying Nichols algebras over classical Weyl groups

Weicai Wu; Panyue Zhou

doi:10.1142/S021819672250062X

Classifying Nichols algebras over classical Weyl groups

Quantum Algebra 2024-10-11 v1

Authors: Weicai Wu , Panyue Zhou

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Abstract

In this article, we show that conjugacy classes of classical Weyl groups $W(B_{n})$ and $W(D_{n})$ are of $\textit{type D}$ . Consequently, we obtain that Nichols algebras of irreducible Yetter-Drinfeld modules over the classical Weyl groups $\mathbb W_{n}$ ( $n\geq5$ ) are infinite dimensional.

Keywords

weyl groups and algebras weyl group representations algebra classification and gradings

Cite

@article{arxiv.2410.07743,
  title  = {Classifying Nichols algebras over classical Weyl groups},
  author = {Weicai Wu and Panyue Zhou},
  journal= {arXiv preprint arXiv:2410.07743},
  year   = {2024}
}

Comments

7 pages

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